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Finding the Fourth Proportional to 85,231.34, 117,576 and 65,053.20

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Solution

The fourth proportional to 85,231.34, 117,576 and 65,053.20 is: 89,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,231.34 : 117,576 = 65,053.20 : x
  2. Step 2: Convert to fraction form
    85,231.34/117,576 = 65,053.20/x
  3. Step 3: Cross multiply
    85,231.34x = 117,576 × 65,053.20
  4. Step 4: Simplify right side
    85,231.34x = 7,648,695,043.20
  5. Step 5: Solve for x
    x = 7,648,695,043.20/85,231.34
  6. Step 6: Final answer
    x = 89,740.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.